Analytical approach for calculating the sheet output curvature in asymmetrical rolling: In the case of roll axis displacement as a new asymmetry factor

• The deformation zone caused by the rolls horizontal displacement was devised.
• An analytical approach based on the slab method analysis was performed for the first time on this deformation zone for determining the force and torque of the process and the outgoing curvature.
• A new formulation was derived for determining the curvature which may prove useful in production of sheets of desired curvature.
• It was observed that the process required force and torque and the curvature index decrease with increasing the rolls horizontal displacement

In this paper, a less studied factor in the asymmetrical rolling process of sheets, namely the rolls horizontal displacement, is investigated using an analytical approach based on the slab method analysis. The presented method is capable of computing the force and torque of the process under different asymmetrical factors such as the rolls horizontal displacement, the interface friction inequality, and the rolls speed mismatch. A formula is presented to predict the outgoing sheet curvature induced by the rolls horizontal displacement. The results can be potentially used in producing curved sheets of various shapes by the asymmetrical rolling process. The analytical model is compared with a verified finite element code and good agreement has been observed.